Star versus Guardian Assignments: Why Expatriates Should be Managed Differentially

The variable emission-line object V1329 Cyg (= HBV 475) was discover red by Kohoutek (1969).Crampton and Grygar (1969) identified more than 100 emission lines in the blue portion of the spectrum, while Andrillat (1969) found evidence for the late-type (M) spectrum in the near infrared. This justified the classification of the object among the symbiotic stars. The classification was subsequently confirmed by all authors who studied the spectroscopic evolution of the object.

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Star versus Team Approaches: Missing the Point

AIMR Conference Proceedings ◽

10.2469/cp.v1996.n8.4 ◽

1996 ◽

Vol 1996 (8) ◽

pp. 13-19 ◽

Cited By ~ 1

Author(s):

James F. Rothenberg

Keyword(s):

Star Versus

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Reviews of Book: Red Star versus the Cross, Calvary in China

The Downside Review ◽

10.1177/001258065507323211 ◽

1955 ◽

Vol 73 (232) ◽

pp. 197-199

Author(s):

John M. Todd

Keyword(s):

Star Versus ◽

The Cross

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Star Versus Two Stripes Ramsey Numbers and a Conjecture of Schelp

Combinatorics Probability Computing ◽

10.1017/s0963548311000599 ◽

2012 ◽

Vol 21 (1-2) ◽

pp. 179-186 ◽

Cited By ~ 14

Author(s):

ANDRÁS GYÁRFÁS ◽

GÁBOR N. SÁRKÖZY

Keyword(s):

Minimum Degree ◽

Ramsey Number ◽

Regularity Lemma ◽

Ramsey Numbers ◽

Standard Application ◽

Star Versus ◽

Ramsey Type ◽

Weakened Form

R. H. Schelp conjectured that if G is a graph with |V(G)| = R(Pn, Pn) such that δ(G) > $$\frac{3|V(G)|}{ 4}$, then in every 2-colouring of the edges of G there is a monochromatic Pn. In other words, the Ramsey number of a path does not change if the graph to be coloured is not complete but has large minimum degree.Here we prove Ramsey-type results that imply the conjecture in a weakened form, first replacing the path by a matching, showing that the star-matching–matching Ramsey number satisfying R(Sn, nK2, nK2) = 3n − 1. This extends R(nK2, nK2) = 3n − 1, an old result of Cockayne and Lorimer. Then we extend this further from matchings to connected matchings, and outline how this implies Schelp's conjecture in an asymptotic sense through a standard application of the Regularity Lemma.It is sad that we are unable to hear Dick Schelp's reaction to our work generated by his conjecture.

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Induced Ramsey Number for a Star Versus a Fixed Graph

The Electronic Journal of Combinatorics ◽

10.37236/9358 ◽

2021 ◽

Vol 28 (1) ◽

Author(s):

Maria Axenovich ◽

Izolda Gorgol

Keyword(s):

Lower Bound ◽

Chromatic Number ◽

Upper Bound ◽

Constant Factor ◽

Ramsey Number ◽

Large N ◽

Star Versus

We write $F{\buildrel {\text{ind}} \over \longrightarrow}(H,G)$ for graphs $F, G,$ and $H$, if for any coloring of the edges of $F$ in red and blue, there is either a red induced copy of $H$ or a blue induced copy of $G$. For graphs $G$ and $H$, let $\mathrm{IR}(H,G)$ be the smallest number of vertices in a graph $F$ such that $F{\buildrel {\text{ind}} \over \longrightarrow}(H,G)$. In this note we consider the case when $G$ is a star on $n$ edges, for large $n$ and $H$ is a fixed graph. We prove that $$ (\chi(H)-1) n \leq \mathrm{IR}(H, K_{1,n}) \leq (\chi(H)-1)^2n + \epsilon n,$$ for any $\epsilon>0$, sufficiently large $n$, and $\chi(H)$ denoting the chromatic number of $H$. The lower bound is asymptotically tight for any fixed bipartite $H$. The upper bound is attained up to a constant factor, for example when $H$ is a clique.

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